曲率驱动的膜成珠不稳定性模型
Model for curvature-driven pearling instability in membranes
摘要：
本文提出了一种处理膜动态不稳定性的相场模型。我们用它来研究曲率驱动的珠状不稳定性引起的两亲性聚合物的锚定在膜上的囊泡。在这个模型中，我们获得了最近的实验中报道的形态变化。均匀珠光结构的形成是通过从尖端开始的初始圆柱形管的后续珠光化来实现的。对于足够高的浓度的锚，我们从理论上表明，均匀的珍珠形状是积极的不太有利的比一个不均匀的，一个大的球体连接到一个阵列的较小的球体。
英文摘要：
A phase-field model for dealing with dynamic instabilities in membranes is presented. We use it to study curvature-driven pearling instability in vesicles induced by the anchorage of amphiphilic polymers on the membrane. Within this model, we obtain the morphological changes reported in recent experiments. The formation of a homogeneous pearled structure is achieved by consequent pearling of an initial cylindrical tube from the tip. For high enough concentration of anchors, we show theoretically that the homogeneous pearled shape is energetically less favorable than an inhomogeneous one, with a large sphere connected to an array of smaller spheres.
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